GCD of 756, 738, 945, 306 Calculator

Given Input numbers are 756, 738, 945, 306

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 756, 738, 945, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 738, 945, 306 is 9.

Therefore, GCD of numbers 756, 738, 945, 306 is 9

Given Input Data is 756, 738, 945, 306

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 306 is 2 x 3 x 3 x 17

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(756, 738) = 30996

GCD(756, 738) = ( 756 x 738 ) / 30996

GCD(756, 738) = 557928 / 30996

GCD(756, 738) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 945

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(18, 945) = 1890

GCD(18, 945) = ( 18 x 945 ) / 1890

GCD(18, 945) = 17010 / 1890

GCD(18, 945) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 306

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 306) = 306

GCD(9, 306) = ( 9 x 306 ) / 306

GCD(9, 306) = 2754 / 306

GCD(9, 306) = 9

GCD of 756, 738, 945, 306 is 9

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1. What is the GCD of 756, 738, 945, 306?

GCD of 756, 738, 945, 306 is 9

2. Where do I get the detailed procedure to find GCD of 756, 738, 945, 306?

You can find a detailed procedure to find GCD of 756, 738, 945, 306 on our page.

3. How to find GCD of 756, 738, 945, 306 on a calculator?

You can find the GCD of 756, 738, 945, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.